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12102011211222 = 2325321918091549
BaseRepresentation
bin1011000000011011100000…
…0101000100110111010110
31120211221101222011120011200
42300012320011010313112
53041234404332224342
641423330500213330
72356225056005412
oct260067005046726
946757358146150
1012102011211222
113946485914739
12143554b09a246
1369a2a3aa062a
142dba51bb5d42
1515ec039d494c
hexb01b8144dd6

12102011211222 has 144 divisors (see below), whose sum is σ = 26915589792000. Its totient is φ = 3929763202560.

The previous prime is 12102011211221. The next prime is 12102011211229. The reversal of 12102011211222 is 22211211020121.

12102011211222 is a `hidden beast` number, since 1 + 210 + 20 + 1 + 1 + 211 + 222 = 666.

It is a super-3 number, since 3×121020112112223 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12102011211195 and 12102011211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102011211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7812788904 + ... + 7812790452.

It is an arithmetic number, because the mean of its divisors is an integer number (186913818000).

Almost surely, 212102011211222 is an apocalyptic number.

12102011211222 is an abundant number, since it is smaller than the sum of its proper divisors (14813578580778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102011211222 is a wasteful number, since it uses less digits than its factorization.

12102011211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12102011211222 its reverse (22211211020121), we get a palindrome (34313222231343).

The spelling of 12102011211222 in words is "twelve trillion, one hundred two billion, eleven million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 191 318 382 477 573 809 954 1146 1549 1618 1719 2427 2809 3098 3438 4647 4854 5618 7281 8427 9294 10123 13941 14562 16854 20246 25281 27882 30369 42877 50562 60738 82097 85754 91107 128631 154519 164194 182214 246291 257262 295859 309038 385893 463557 492582 536519 591718 738873 771786 887577 927114 1073038 1253141 1390671 1477746 1609557 1775154 2272481 2506282 2662731 2781342 3219114 3759423 4351141 4544962 4828671 5325462 6817443 7518846 8189507 8702282 9657342 11278269 13053423 13634886 15680527 16379014 20452329 22556538 24568521 26106846 31361054 39160269 40904658 47041581 49137042 66416473 73705563 78320538 94083162 132832946 141124743 147411126 199249419 239349931 282249486 398498838 434043871 478699862 597748257 718049793 831067931 868087742 1195496514 1302131613 1436099586 1662135862 2154149379 2493203793 2604263226 3520073069 3906394839 4308298758 4986407586 7040146138 7479611379 7812789678 10560219207 12685546343 14959222758 21120438414 25371092686 31680657621 38056639029 63361315242 76113278058 114169917087 228339834174 672333956179 1344667912358 2017001868537 4034003737074 6051005605611 12102011211222